3(2x-4)-4=3(x-2)+11

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Solution for 3(2x-4)-4=3(x-2)+11 equation: 


Simplifying
3(2x + -4) + -4 = 3(x + -2) + 11

Reorder the terms:
3(-4 + 2x) + -4 = 3(x + -2) + 11
(-4 * 3 + 2x * 3) + -4 = 3(x + -2) + 11
(-12 + 6x) + -4 = 3(x + -2) + 11

Reorder the terms:
-12 + -4 + 6x = 3(x + -2) + 11

Combine like terms: -12 + -4 = -16
-16 + 6x = 3(x + -2) + 11

Reorder the terms:
-16 + 6x = 3(-2 + x) + 11
-16 + 6x = (-2 * 3 + x * 3) + 11
-16 + 6x = (-6 + 3x) + 11

Reorder the terms:
-16 + 6x = -6 + 11 + 3x

Combine like terms: -6 + 11 = 5
-16 + 6x = 5 + 3x

Solving
-16 + 6x = 5 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-16 + 6x + -3x = 5 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-16 + 3x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 3x = 5 + 0
-16 + 3x = 5

Add '16' to each side of the equation.
-16 + 16 + 3x = 5 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 5 + 16
3x = 5 + 16

Combine like terms: 5 + 16 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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